# Important Questions for Class 11 Chapter 14 - Mathematical Reasoning

To understand a topic clearly, students need to practice related exercises too.Given is the Important Questions for class 11 is all based on the specific guidelines of the CBSE board. Practice the questions and get the best marks in exams.

**Important questions based on NCERT syllabus for Class 11 Chapter 14 - Mathematical Reasoning:**

*Question 1*: Identify the following statements are negation of each other.

i) The number x is not a rational number.

The number x is not an irrational number

i) The number x is a rational number.

The number x is a irrational number

*Solution*:

i) The negation of the first statement is " The number x is not a rational number" which is same as the second statemnet because if the number is not rational then it is irrational

ii) The negation of the first statement is " The number x is not an irrational number" which is same as the second statemnet because if the number is not irrational then it is rational.

Therefore the pairs are negation of each other.

*Question 2*: Find the compund statements in the following compound statements and check whether it is true or false.

i) 99 is divisible by 3, 33, 99

ii) A square has 4 side and all side are of different lenght and width

iii) If x is natural number the it should contain '0'

iv) The diagonals of the rectangles are equal

*Solution*:

i) 99 is divisible by 3, 33, 99 - It is True compound statement

ii) A square has 4 side and all side are of different lenght and width - it is false compound statement

iii) If x is natural number the it should contain '0' - false compound statement

iv) The diagonals of the rectangles are equal - True compound statement

*Question 3*: For each of the following statements identitfy the connecting words and then break it into compound statements

i) A square has 4 side and all 4 sides are Equal

ii) The sum of two natural numbers may be positive or negative

iii) If 20 is a divisor of 100 and 10 is a divisor of 100

*Solution*:

AND

The compound statements are

A square has 4 side

all 4 sides are Equal

OR

The compound statements are

The sum of two natural numbers may be positive

The sum of two natural numbers may be negative

IF-Then

20 is a divisor of 100

10 is a divisor of 100